Micropolar eyring-powell magneto-convection flow from a revolving cone with hall current and ohmic heating effects

Abdul Gaffar, S; Anwar Bég, O; Bég, T A; Kuharat, S; Anjum, Asra; Reddy, P Ramesh

Abstract

As a simulation of electromagnetic rheological spin coating flow, a theoretical study is conducted on the nonlinear, steady-state boundary layer flow and heat transfer of an incompressible Eyring-Powell non-Newtonian micropolar fluid about a spinning cone with magnetic field, Hall current, viscous dissipation, Ohmic (Joule) heating and power-law variation in temperature. In order to simulate the polymer microstructural and shearing features, the Eringen's micropolar and Eyring-Powell rheological models are coupled. The micropolar model accurately simulates certain polymeric fluids and includes micro-element gyratory rotating motions. The transformed conservation equations are solved numerically subject to physically appropriate boundary conditions using a second-order accurate implicit finite-difference Keller Box technique. Verification with previous special cases from the literature is included. The novelty of the present study is therefore the simultaneous consideration of viscous dissipation, Joule magnetic heating, Hall current and the combined Eyring-Powell micropolar non-Newtonian model for spin coating on a non-isothermal rotating cone. The influence of a number of emerging non-dimensional parameters, namely first and second Eyring-Powell rheological fluid parameters (, ), surface temperature exponent (m), Prandtl number (Pr), magnetic interaction parameter (M), Hall current parameter (βe), Eckert number (Ec), micropolar fluid material parameters (V1, ), Eringen vortex viscosity parameter (K) and dimensionless tangential coordinate () on axial and tangential velocities, angular velocity and temperature evolution in the boundary layer regime are examined in detail. Furthermore, the effects of these parameters on Nusselt number (wall heat transfer rate), wall couple stress and both axial and tangential skin friction are also investigated.

• Journal Article Type: Article
• Acceptance Date: Nov 1, 2024
• Deposit Date: Nov 1, 2024
• Print ISSN: 1040-7782
• Electronic ISSN: 1521-0634
• Publisher: Taylor and Francis
• Peer Reviewed: Peer Reviewed
• Keywords: Eyring-Powell micropolar fluid; revolving cone; Magnetohydrodynamics (MHD); Hall current; Viscous and Ohmic heating; Spin coating